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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 812 · 40 questions
TalentJR

How to think it through (Swap, then BODMAS): Rewrite the sum, swapping every sign for what it means. BODMAS: do × and ÷ first, from left to right. Then do + and −, from left to right.

NameDateTime takenScore ___ / 40
  1. 1.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 7 − 16 × 12?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 5 + 19 × 19?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 3 ÷ 9 − 4?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 4 + 2 − 17?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 7 − 2 ÷ 3?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 20 ÷ 10 − 2?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 14 × 14 + 2?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 × 13 − 4 ÷ 7?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 14 + 7 × 10 ÷ 19?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 7 + 12 ÷ 14?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 15 × 20 + 15?
  12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 17 + 13 − 10?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 2 ÷ 18 × 20?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 10 × 4 − 18?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 20 − 10 ÷ 4?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 16 + 2 ÷ 11?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 17 − 17 + 18 ÷ 10?
  18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 18 × 12 + 16?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 16 × 10 − 19?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 5 − 5 + 12?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 16 + 18 ÷ 3?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 12 − 17 + 11?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 3 + 14 × 4?
  24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 8 − 17 × 9?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 3 ÷ 11 × 6?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 2 × 12 + 7?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 16 − 15 + 5?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 5 − 17 + 7?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 3 + 9 ÷ 10?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 8 + 10 × 11?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 3 − 13 + 20?
  32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 14 + 6 − 4?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 20 × 10 + 5?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 18 + 3 ÷ 11?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 14 + 3 × 15?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 17 ÷ 4 × 8?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 18 ÷ 3 + 9?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 14 + 3 ÷ 9?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 5 ÷ 3 + 3?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 13 + 17 − 17?

Answer key

  1. 137
  2. 34
  3. 35
  4. 19
  5. 14
  6. 111
  7. 8
  8. 11
  9. 11
  10. 58
  11. 290
  12. 235
  13. 35
  14. 78
  15. 16
  16. 141
  17. 8
  18. 189
  19. 190
  20. 17
  21. 209
  22. 210
  23. 56
  24. 132
  25. 11
  26. 31
  27. 67
  28. 129
  29. 44
  30. 85
  31. 5
  32. 82
  33. 19
  34. 101
  35. 38
  36. 81
  37. 29
  38. 75
  39. 54
  40. 207

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